1. Let h(x) 4x³ + 3x - 2. Use the Intermediate Value Theorem to show there exists a value c between x = 1 and x = 2 so that h(c) = 10. Be sure to say why the IVT applies.

Q: what is a point on the x axis that is eqidistant from the points (-3,4) , (5,-6).

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Q: Find f, fy, f₂. f(x,y,z) = (4x² + 4y² + z²) e

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: function is undefined at a specific value, does that mean the limit is automatically infinity or…

A: it doesn't mean that limit is always infinity.

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the…

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Q: appliance company has determined that the cost of producing ice cream makers is $30.50 per ice cream…

A: Given query is to find break even point.

Q: Use the shell method to write and evaluate the integral that gives the volume of the solid generated…

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Q: Describe the given region in polar coordinates, such that 0≤r and -≤0≤. R: srs ses (Type exact…

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Q: the planes z-4y-2z=-25 and 3r+y-2:=-7 are not parallel, so they must intersect in a line. The vector…

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Q: The domain of the function is (80,∞) 3, g(t) = t - 80

A: Domain of g(t)= t-803

Q: A ball of radius 12 with a cylindrical hole of radius 7 drilled through its center has volume:…

A: given ball radius is 12 cylindrical hole radius is 7 ball is the shape of sphere volume of sphere…

Q: A tank contains 50 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The…

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Q: The population of the world x years after the year 2010 is predicted to be 6.9e0.00743x billion…

A: The population of the world x years after 2010 is predicted to be 6.9e0.00743 x billion people.…

Q: Let f(z) = (1+15r cose + ar sine) +(3+ẞr sin0+6r cose), where z= r eie, be an entire function. Then…

A: Please see the below picture for detailed solution.

Q: find equation for line parallel to y=4x-6 with y-intercept (0,3)

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Q: Use the graph below to fill in the missing values. -1 5 3 7 f(0) = f(x) f-¹(0) = 1 2 3 f(x)=0, x=…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: The population of deer in a forest can be modeled by 400x + 510 2x + 3 P(x) = where x is the number…

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Q: The graph of a function is given. Determine the average rate of change of the function between the…

A: Given query is to find average rate of change.

Q: $19,000 is invested for 3 years at an annual simple interest rate of 19%. (a) How much interest will…

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Q: Find the angle between a diagonal of a cube and one of its edges

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Q: 4 n+1 Does the series Σ converge or diverge? n=1 Choose the correct answer below. OA. The nth-term…

A: Given data:  ∑n=1∞ 4nn+1    Converge of diverge ?

Q: Suppose that 9x² +9x+7 < g(x) < 7x² − 8 x+7 for all x 0. Compute the exact value of lim g(x) x→0

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Q: The graph below illustrates a driving trip between two of Arizona's largest cities, Phoenix and…

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Q: Use the shell method to find the volume of the solid generated by revolving the plane region about…

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Q: 1) Suppose velocity, v(t), of an object at time t is given by this piecewise defined graph. Assume…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 3 7 11 15 19…

A: Given;  3/1, 7/2, 11/6, 15/24, 19/120,...

Q: Determine the average rate of change of the following function between the given values of the…

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Q: find the following. (a) the average rate of change of f on [2, 5]: (b) the average rate of change of…

A: Given query is to find average rate of change.

Q: 30° 10 The height of a right triangle with base angle 30° and base 10 is

A: Given:

Q: Find the range of f(x) = 23 e*+3

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Q: Using only the Laplace transform table (Figure 11.5) in the Glyn James textbook, obtain the Laplace…

A: We need to solve Laplace problem.

Q: Let f(x) = 8x + 4 ƒ-¹(x) =

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Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

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Q: Suppose the speed of a car approaching a stop sign is given by v(t) = (t-20)², for 0 st≤ 20, where t…

A: Please see the below picture for detailed solution.

Q: Which polynomial function has the following end behavior? Assume a and k are positive constants. If…

A: Given: If x→-∞ then p(x)→+∞,   If x→+∞ then p(x)→-∞

Q: Find an equation of the plane. The plane through the point  (6, −7, −1)  and parallel to the plane…

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Q: 9x-7 2x²-3x+1

A: Topic - Partial fraction decomposition We are given 9x-72x2-3x+1

Q: af Find and əx Əf dy 2 f(x,y) = √/2x² + y²

A: (1)  f(x,y)=2x2+y2for ∂y ∂x assume   y is constant ∂ ∂x(xn)=nxn-1∂ ∂x(x)=12x

Q: determined that the cost of producing x units of a certain item is 4x + 4720. The demand function is…

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Q: Find the angle between the planes 8x + 3y = 4 and 10x + 5y + 6z = 10. The radian measure of the…

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Q: 1 b Given: (x is number of items) Demand function: d(x) = 370.3-0.4x² Supply function: s(x) = 0.3x²…

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Q: Find the general solution of the differential equation: y'+3y = 4 sin(3t) Use lower case c for the…

A: A detailed solution is given below.

Q: Let f(x)=5x+4 Let g(x)=ln(x)+3 Find the following: (a) g(f(x))= (b) f(g(x))= (c)…

A: f(x)=5x+4g(x)=lnx+3(a)for g(f(x)), put x=5x+4 in g(x)

Q: Q1 x Let f(x) = 3x + 1 Find the domain of h(x) = (gof)(x). You must show all your work as neatly and…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: x + 1 X-7' (a) the average rate of change of f(x) on [x, x + h] Given the function f(x) = (b) the…

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Q: If f(x) = 9³x² 48 √√√x 3, find f'(8). X

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Q: Describe the given region in polar coordinates, such that 0≤rand -≤0≤T. The region enclosed by the…

A: To find the polar coordinates to describe given region.

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

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Q: order to express the function y=(2t^4−8)^5 as a composition of two functions the outer of which is a…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5. Given that the particular solution of y" - y' = cosx + sinx has the form = Acosx + Bsinx.…

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